Question

How many words can be made from the letters of the word ‘BHARAT’ in which ‘B’ and ‘H’ never come together ?

• A. $360$
• B. $300$
• C. $240$
• D. $120$

Answer 1

The correct option is C

$240$

Finding arrangement.

Given word ‘BHARAT’,

The letter ‘A’ is repeated twice, $2!$

Therefore, total number of words form these $6$ letter is $\frac{6!}{2!}=360$

Total number of word from form when ‘B’ and ‘H’ are together $5!=120$

Therefore total number of words form when ‘B’ and ‘H’ are not together “=total number of words form - total number words when ‘B’ & ‘H’ are together”

$\begin{array}{rcl}& =& 360-120\\ & =& 240\end{array}$

Hence, correct option is $\left(C\right)$